Logitech G305. No cord but has a replaceable AA battery.
Right to Repair
Whether it be electronics, automobiles or medical equipment, the manufacturers should not be able to horde “oem” parts, render your stuff useless if you repair it with aftermarket parts, or hide schematics of their products.
Summary video by Marques Brownlee
Great channel covering and advocating right to repair, Lewis Rossman
This is a very nice mouse. You can buy Li-Ion batteries in an AA format for those, that come with a USB-C slot. I use that setup for more than a year now and am very happy with it.
It's reasonably easy to replace the internal battery of many mice, which might be worth a try if your mouse is fine otherwise.
E.g. below is an example of a Logitech G Pro Wireless battery replacement. These exact tools aren't necessary, and a replacement battery can be found for 10-20€.
https://www.ifixit.com/Guide/Logitech+G+PRO+Wireless+Battery+Replacement/145490
You're not going to get both a replaceable battery and a rechargeable mouse with charging cord.
You can get rechargable AA batteries that actually have a port on them. But you need to remove it to charge. Just keep a spare in your laptop bag
Might be tricky to find, so if you want user replaceable batteries in a Mouse, maybe get a USB AA/AAA battery charger and use any of the many mice with AA (Or AAA) batteries. Recharge the batteries by plugging in the USB charger when they get low ?
My Logitech MX Master 3S is USB c rechargabke but not user replaceable batteries